4 problems

Let $P$ be a simplicial poset, with associated polynomials $\operatorname{H}_{\widehat{P}}(x)$, $\operatorname{H}_{{\widehat{P}}^\ast}(x)$, and augmented polynomial…

Let $\Delta$ be a triangulation of a sphere, and let $P_\Delta$ be its face poset, consisting of all faces of $\Delta$, including $\emptyset$, ordered by inclusion. Recall that…

Let $G$ be a nice group, meaning a cyclic $p$-group or a generalized quaternion group whose order is a power of $2$. For a finite free $G$-simplicial complex $\mathcal{K}$, let…

Let $G$ be a nice group, meaning a cyclic $p$-group or a generalized quaternion group whose order is a power of $2$. Let $\mathcal{P}_1$ and $\mathcal{P}_2$ be finite free $G$-simp…